Xie, Zhizhang individual record
Associate Professor
overview

Noncommutative geometry, K-theory of operator algebras, index theory, and their applications to geometry and topology

education and training
selected publications
Academic Articles6
  • Xie, Z., & Yu, G. (2021). Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras. International Mathematics Research Notices. (15),
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  • Guo, H., Xie, Z., & Yu, G. (2021). Functoriality for higher rho invariants of elliptic operators. Journal of Functional Analysis. 280(10), 108966-108966.
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  • Xie, Z., Yu, G., & Zeidler, R. (2021). On the range of the relative higher index and the higher rho-invariant for positive scalar curvature. Advances in Mathematics. 390, 107897-107897.
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  • Weinberger, S., Xie, Z., & Yu, G. (2021). Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds. Communications on Pure and Applied Mathematics. 74(1), 3-113.
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  • Gorokhovsky, A., & Xie, Z. (2019). Fibrations and higher products in cohomology. 11(01), 135-147.
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Chapters2
  • Xie, Z., & Yu, G. (2019). Higher invariants in noncommutative geometry. Advances in Noncommutative Geometry. 691-751. Springer International Publishing.
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  • Xie, Z., & Yu, G. (2015). Noncommutative Geometry of Discrete Groups. Cheng, S. Y., Ji, L., Poon, Y. S., Xiao, J., Yang, L., & Yau, S. T. (Eds.), Introduction to Modern Mathematics. International Press.
Repository Documents / Preprints3
  • Gorokhovsky, A., & Xie, Z. (2017). Fibrations and higher products in cohomology.
  • Gorokhovsky, A., Sullivan, D., & Xie, Z. (2017). Generalized Euler classes, differential forms and commutative DGAs.
chaired theses and dissertations
Email
xie@tamu.edu
First Name
Zhizhang
Last Name
Xie
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA